yo lets just focus on the kid:
1. Your parent perceive time differently. For you, being responsible to yourself (doing chores, homework, more family time etc) a day or two does not mean you are "up to the standard" for getting to cube. May be a week or 2 is how they will perceive as "you are doing good lately" and then you get to request and discuss about you hobby.
2. Almost all your options above is too "effortless" on your end, the moment you actually come out with a non-effortless option and actually stick to it, your parent will know your are getting more mature and appreciate your growth and give your more freedom. Remember, you have to earn your freedom.
3. Remember to be sincere when you talk to them, if they still rejects you, dont be angry, just be/act cool, and try again in a week or so. Repeat this, they will see your growth, and eventually allow you to cube. If they really were angry and yelled at you, dont yell back, remain calm. Once they started yelling they lost half of the battle. Whoever lost their temper first kinda put themselves in the "unreasonable" position in the argument, parents will reflect themselves after the argument when they are in their room by themselves, next time you talk to them again, they will be soften. The more you keep yourself calm, the more advantage you have.
4. Timing is important, dont pick the time they seems frustrated/tired. Talk to them when they are relax/happy. Dont discuss this with them when they are focus on something.
5. Days are still long, a hobby last years, so starting out one/two months late is ok.
TLDR: Grow up, be patience, and think strategically.
